Multivariate Analysis in Genetic Studies

1972 ◽  
Vol 21 (3) ◽  
pp. 204-210 ◽  
Author(s):  
Ch. Susanne
Keyword(s):  
Multivariate Analysis ◽  
Environmental Factors ◽  
The Body ◽  
Biometrical Analysis ◽  
Genetic Studies ◽  
The Face ◽  
Generalized Distances ◽  
Sib Pairs

SummaryThe results are presented of a method of generalized distances calculated by a noncentral χ2 test and applied to compare 63 twin pairs and 196 sib pairs. The advantage of this method in biometrical analysis lies in the fact that several measurements can be utilised simultaneously. Besides, it takes into account the distance of each relative to the centre of the population and also has the advantage of permitting the comparison of distances between pairs of relatives whatever their age or sex.Generalized distances were calculated for four measurements of the head, five of the body and eleven of the face. For all three sets of measurements the influence of genetical factors was demonstrated. The body seems less influenced by environmental factors and more conditioned by genetic ones.

Two open problems in the fixed point theory of contractive type mappings on quasimetric spaces

2017 ◽  
Vol 33 (2) ◽  
pp. 169-180
Author(s):  
MITROFAN M. CHOBAN ◽  
◽  
VASILE BERINDE ◽  
◽  
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Partial Answer ◽  
Open Problems ◽  
Complete Answer ◽  
Contractive Type ◽  
Generalized Distances

Two open problems in the fixed point theory of quasi metric spaces posed in [Berinde, V. and Choban, M. M., Generalized distances and their associate metrics. Impact on fixed point theory, Creat. Math. Inform., 22 (2013), No. 1, 23–32] are considered. We give a complete answer to the first problem, a partial answer to the second one, and also illustrate the complexity and relevance of these problems by means of four very interesting and comprehensive examples.

Newton-type Methods with Generalized Distances For Constrained Optimization

Optimization ◽  
1997 ◽  
Vol 41 (3) ◽  
pp. 257-278 ◽  
Author(s):  
N. Alfredo. Iusem ◽  
V. Michael. Solodov
Keyword(s):  
Constrained Optimization ◽  
Generalized Distances

scholarly journals Variational principles with generalized distances and the modelization of organizational change

Optimization ◽  
2016 ◽  
Vol 65 (12) ◽  
pp. 2049-2066 ◽  
Author(s):  
Truong Q. Bao ◽  
Phan Q. Khanh ◽  
Antoine Soubeyran
Keyword(s):  
Organizational Change ◽  
Variational Principles ◽  
Generalized Distances

Rescaling and Stepsize Selection in Proximal Methods Using Separable Generalized Distances

2001 ◽  
Vol 12 (1) ◽  
pp. 238-261 ◽  
Author(s):  
Paulo José da Silva e Silva ◽  
Jonathan Eckstein ◽  
Carlos Humes
Keyword(s):  
Proximal Methods ◽  
Generalized Distances ◽  
Stepsize Selection
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